Fez rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 6.

The probability of getting  sum of two dice is less than six

P(E) =0.25

Step-by-step explanation:

Step(i):-

The total number of cases n(S) = 6² = 36

Let 'E' be the event of getting  sum of two dice is less than six

{(1,2) , (1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)}

n(E) =9

Step(ii):-

The probability of getting  sum of two dice is less than six

P(E) = 0.25

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

idk

step-by-step explanation:

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